IS THIS RIGHT? ### Right Triangle: Finding the Length of xFor the right triangle below, find the length of \( x \).#### Given Data:- Angle: \( 36^\circ \)- Adjacent Side: \( 5 \)#### Diagram:``` /| / | / | / | x/____| 5 ```- The given angle is \( 36^\circ \).- The side adjacent to the \( 36^\circ \) angle is \( 5 \).#### Solution:Using trigonometric ratios, specifically the tangent function:\[ \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} \]Here, \( \theta = 36^\circ \):\[ \tan(36^\circ) = \frac{x}{5} \]To find \( x \), multiply both sides by \( 5 \):\[ x = 5 \cdot \tan(36^\circ) \]Using a calculator to find \( \tan(36^\circ) \approx 0.7265 \):\[ x \approx 5 \cdot 0.7265 \]\[ x \approx 3.6325 \]However, the diagram suggests:\[ x = 6.8819 \]This implies there may be a different ratio or calculation error. Please double-check calculations with accurate values or a proper calculator for clarity.In conclusion, the calculated \( x \) based on given trigonometric functions should be verified, resulting in:\[ x \approx 6.8819 \]

Name: IS THIS RIGHT? ### Right Triangle: Finding the Length of xFor the righ
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: IS THIS RIGHT? ### Right Triangle: Finding the Length of xFor the right triangle below, find the length of \( x \).#### Given Data:- Angle: \( 36^\circ \)- Adjacent Side: \( 5 \)#### Diagram:``` /| / | / | / | x/____| 5 ```- The given ang